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2312579386040 = 2357112946755441
BaseRepresentation
bin100001101001110000011…
…110010000101010111000
322012002011122002220021212
4201221300132100222320
5300342130310323130
64530215002022252
7326035605306320
oct41516036205270
98162148086255
102312579386040
11811839857aa0
1231423a1a7988
1313a0c9586671
147dd0254c280
154024ec06e95
hex21a70790ab8

2312579386040 has 256 divisors, whose sum is σ = 6725425075200. Its totient is φ = 694445875200.

The previous prime is 2312579386037. The next prime is 2312579386063. The reversal of 2312579386040 is 406839752132.

It is a self number, because there is not a number n which added to its sum of digits gives 2312579386040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41684720 + ... + 41740160.

It is an arithmetic number, because the mean of its divisors is an integer number (26271191700).

It is a 1-persistent number, because it is pandigital, but 2⋅2312579386040 = 4625158772080 is not.

Almost surely, 22312579386040 is an apocalyptic number.

2312579386040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312579386040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362712537600).

2312579386040 is an abundant number, since it is smaller than the sum of its proper divisors (4412845689160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2312579386040 is a wasteful number, since it uses less digits than its factorization.

2312579386040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55966 (or 55962 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 2312579386040 in words is "two trillion, three hundred twelve billion, five hundred seventy-nine million, three hundred eighty-six thousand, forty".